Simplify: `(-24/7) xx (-14/9)`

Answer

To simplify the expression \((-24/7) \times (-14/9)\), we can follow these steps:

### Step 1: Multiply the numerators and the denominators
We start by multiplying the two fractions directly. The product of two negative numbers is positive.

\[ (-24/7) \times (-14/9) = \frac{(-24) \times (-14)}{7 \times 9} \]

### Step 2: Calculate the product of the numerators
Now we calculate the product of the numerators:

\[ (-24) \times (-14) = 24 \times 14 \]

Calculating \(24 \times 14\):

\[ 24 \times 14 = 336 \]

### Step 3: Calculate the product of the denominators
Next, we calculate the product of the denominators:

\[ 7 \times 9 = 63 \]

### Step 4: Write the fraction
Now we can write the fraction with the calculated numerator and denominator:

\[ \frac{336}{63} \]

### Step 5: Simplify the fraction
To simplify \(\frac{336}{63}\), we need to find the greatest common divisor (GCD) of 336 and 63.

First, we can divide both numbers by 9:

\[ 336 \div 9 = 37.33 \quad \text{(not an integer)} \]
\[ 63 \div 9 = 7 \]

Next, we can check for 3:

\[ 336 \div 3 = 112 \]
\[ 63 \div 3 = 21 \]

Now we have:

\[ \frac{336 \div 3}{63 \div 3} = \frac{112}{21} \]

Now, we can simplify \(\frac{112}{21}\) further. We can check for 7:

\[ 112 \div 7 = 16 \]
\[ 21 \div 7 = 3 \]

So we have:

\[ \frac{112 \div 7}{21 \div 7} = \frac{16}{3} \]

### Final Answer
Thus, the simplified form of \((-24/7) \times (-14/9)\) is:

\[ \frac{16}{3} \]

---